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Finding the Fourth Proportional to 348.86, 481.34 and 209.02

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Solution

The fourth proportional to 348.86, 481.34 and 209.02 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.86 : 481.34 = 209.02 : x
  2. Step 2: Convert to fraction form
    348.86/481.34 = 209.02/x
  3. Step 3: Cross multiply
    348.86x = 481.34 × 209.02
  4. Step 4: Simplify right side
    348.86x = 100,609.69
  5. Step 5: Solve for x
    x = 100,609.69/348.86
  6. Step 6: Final answer
    x = 288.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.